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Finding the Third Proportional to 10,382 and 15,530

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Solution

The third proportional to 10,382 and 15,530 is: 23,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382 : 15,530 = 15,530 : x
  2. Step 2: Convert to fraction form
    10,382/15,530 = 15,530/x
  3. Step 3: Cross multiply
    10,382x = 15,530 × 15,530
  4. Step 4: Simplify right side
    10,382x = 241,180,900
  5. Step 5: Solve for x
    x = 241,180,900/10,382
  6. Step 6: Final answer
    x = 23,230.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.